Question

i need serious help with trigonometric values in the four quadrants of a circle.

Answer 1

i have read my lesson over again 2 times and still can not figure out the process to solving something like this:

what is the exact value of sin \[\frac{ \pi }{ 2}\] as found on the unit circle?

Answer 2

sin goes in front of the fraction

Answer 3

any idea @zepdrix ?

Answer 4

Ok let's start really basic first.
Do you know your orientation within the unit circle?
Like do you know where an angle of \(\large \theta=0\) starts?
And do you know which way to rotate and how far to go to get to \(\large \pi/2\) ?

Answer 5

i know pi/2 is equivalent to 90 degrees

Answer 6

ok good.

Answer 7

Before we figure this problem out ~ I just wanna make 2 really quick notes that I think might help.

Let's start with some arbitrary angle like this.

Answer 8

There are a couple ways to get to this point on the unit circle.
By spinning theta radians around the circle
OR
by moving a distance in the x direction,
and a distance in the y direction.